Question :

Find the largest number, which divides 70 and 125, leaving remainders 5 and 8 respectivelySubmitted on 3/3/2024 | Answered by Vandana Rana

Answer :

Firstly, we subtract the remainder 5 and 8, respectively, from corresponding numbers and then get the HCF of the resulting numbers .After removing these remainders from the numbers, we have:
(70 − 5) = 65
(125 − 8) = 117
Now, the required number
117=13×3×3
65=13×5
∴ HCF = 13.
Thus, 13 is the largest number which is divisible by 70 and 125 leaving remainder 5 and 8.